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Differential geometry of curves and surfaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Differential geometry of curves and surfaces /Thomas F. Banchoff, Stephen Lovett.
作者:	Banchoff, Thomas,
其他作者:	Lovett, Stephen
出版者:	Boca Raton, FL :CRC Press, Taylor & Francis Group,2023.
面頁冊數:	xv, 368 p. :ill. ;25 cm.
附註:	Previous edition: 2016.
附註:	A Chapman & Hall Book
標題:	Geometry, Differential.
ISBN:	9781032281094 (hbk.) :

Differential geometry of curves and surfaces /
Banchoff, Thomas,

Differential geometry of curves and surfaces /Thomas F. Banchoff, Stephen Lovett. - 3rd ed. - Boca Raton, FL :CRC Press, Taylor & Francis Group,2023. - xv, 368 p. :ill. ;25 cm.

Previous edition: 2016.

Includes bibliographical references (p. 359-361) and index.

Plane Curves : Local Properties -- Plane Curves : Global Properties -- Curves in Space : Local Properties -- Curves in Space : Global Properties -- Regular Surfaces -- First and Second Fundamental Forms -- Fundamental Equations of Surfaces -- Gauss-Bonnet Theorem ; Geodesics -- Curves and Surfaces in n-dimensional Space -- Tensor Notation.

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player. The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. Investigative project ideas promote student research. -- Provided by publisher.

ISBN: 9781032281094 (hbk.) :NT$2132Subjects--Topical Terms:

182610
Geometry, Differential.

LC Class. No.: QA641 / .B32 2023

Dewey Class. No.: 516.3/6

Differential geometry of curves and surfaces /
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035 $a on1314331493
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100 1 $a Banchoff, Thomas, $e author. $3 968078
245 1 0 $a Differential geometry of curves and surfaces / $c Thomas F. Banchoff, Stephen Lovett.
250 $a 3rd ed.
260 $a Boca Raton, FL : $b CRC Press, Taylor & Francis Group, $c 2023.
300 $a xv, 368 p. : $b ill. ; $c 25 cm.
500 $a Previous edition: 2016.
500 $a A Chapman & Hall Book
504 $a Includes bibliographical references (p. 359-361) and index.
505 0 $a Plane Curves : Local Properties -- Plane Curves : Global Properties -- Curves in Space : Local Properties -- Curves in Space : Global Properties -- Regular Surfaces -- First and Second Fundamental Forms -- Fundamental Equations of Surfaces -- Gauss-Bonnet Theorem ; Geodesics -- Curves and Surfaces in n-dimensional Space -- Tensor Notation.
520 $a Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player. The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. Investigative project ideas promote student research. -- Provided by publisher.
650 0 $a Geometry, Differential. $3 182610
650 0 $a Curves on surfaces. $3 345413
650 0 $a Surfaces. $3 189590
700 1 $a Lovett, Stephen $q (Stephen T.), $e author. $3 968079